4066381106016 has 96 divisors (see below), whose sum is σ = 10956342071808. Its totient is φ = 1319770690560.

The previous prime is 4066381105949. The next prime is 4066381106017. The reversal of 4066381106016 is 6106011836604.

It is a happy number.

4066381106016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066381106017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952845 + ... + 3006771.

It is an arithmetic number, because the mean of its divisors is an integer number (114128563248).

Almost surely, 2^{4066381106016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066381106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478171035904).

4066381106016 is an abundant number, since it is smaller than the sum of its proper divisors (6889960965792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4066381106016 is a wasteful number, since it uses less digits than its factorization.

4066381106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054484 (or 2054476 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 4066381106016 in words is "four trillion, sixty-six billion, three hundred eighty-one million, one hundred six thousand, sixteen".